Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies
if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the
same subfield and year (this is the minimum needed to enter the top 1%, not the average
within it), or reaches the top citation threshold in at least one of its specific research
topics.
Perturbation Analysis of Optimization Problems
20001.6k citationsJ. Frédéric Bonnans, Alexander Shapiroprofile →
The Sample Average Approximation Method for Stochastic Discrete Optimization
20021.3k citationsAnton J. Kleywegt, Alexander Shapiro et al.profile →
Lectures on Stochastic Programming: Modeling and Theory
20091.1k citationsAlexander Shapiro et al.profile →
Robust Stochastic Approximation Approach to Stochastic Programming
2009999 citationsGuanghui Lan, Alexander Shapiro et al.profile →
Lectures on Stochastic Programming
2009974 citationsAlexander Shapiro et al.profile →
Convex Approximations of Chance Constrained Programs
2006834 citationsAlexander Shapiro et al.profile →
A stochastic programming approach for supply chain network design under uncertainty
2004818 citationsAlexander Shapiro et al.European Journal of Operational Researchprofile →
Value-at-Risk-Based Risk Management: Optimal Policies and Asset Prices
2001574 citationsAlexander Shapiro et al.profile →
Lectures on Stochastic Programming: Modeling and Theory, Second Edition
2014393 citationsAlexander Shapiro et al.profile →
Citations per field, relative to Alexander Shapiro
Alexander Shapiro · 1×
×0.53.2kMSOR
×0.93.4kCTM
×1.34.0kCSE
×0.4958NA
×0.3657SP
Citations per year, relative to Alexander Shapiro
Alexander Shapiro · 1×
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
Countries citing papers authored by Alexander Shapiro
Since
Specialization
Citations
This map shows the geographic impact of Alexander Shapiro's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Alexander Shapiro with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alexander Shapiro more than expected).
Fields of papers citing papers by Alexander Shapiro
This network shows the impact of papers produced by Alexander Shapiro. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Alexander Shapiro. The network helps show where Alexander Shapiro may publish in the future.
Co-authorship network of co-authors of Alexander Shapiro
This figure shows the co-authorship network connecting the top 25 collaborators of Alexander Shapiro.
A scholar is included among the top collaborators of Alexander Shapiro based on the total number of
citations received by their joint publications. Widths of edges
represent the number of papers authors have co-authored together.
Node borders
signify the number of papers an author published with Alexander Shapiro. Alexander Shapiro is excluded from
the visualization to improve readability, since they are connected to all nodes in the network.
Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive
bibliographic database. While OpenAlex provides broad and valuable coverage of the global
research landscape, it—like all bibliographic datasets—has inherent limitations. These include
incomplete records, variations in author disambiguation, differences in journal indexing, and
delays in data updates. As a result, some metrics and network relationships displayed in
Rankless may not fully capture the entirety of a scholar's output or impact.